具有粒子转移的Smoluchowski方程的模型约简

Pub Date : 2021-06-01 DOI:10.1515/rnam-2021-0015
I. Timokhin, S. Matveev, E. Tyrtyshnikov, A. Smirnov
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引用次数: 1

摘要

摘要在本文中,我们考虑了聚集粒子系统的建模问题,在一维情况下,聚集粒子以取决于粒子质量的静止速度传输。构造了一种基于POD(适当正交分解)思想的数值方法,并证明了其将求解速度提高到40倍的能力。
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Model reduction for Smoluchowski equations with particle transfer
Abstract In this paper we consider the problem of modelling a system of aggregating particles, that are being transported with stationary velocities dependent on masses of the particles in one-dimensional case. A numerical method based on the ideas of POD (Proper Orthogonal Decomposition) is constructed, and its capacity to speed up the solution up to 40 times is demonstrated.
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